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Finding the Third Proportional to 829,887 and 1,690,228

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Solution

The third proportional to 829,887 and 1,690,228 is: 3,442,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,887 : 1,690,228 = 1,690,228 : x
  2. Step 2: Convert to fraction form
    829,887/1,690,228 = 1,690,228/x
  3. Step 3: Cross multiply
    829,887x = 1,690,228 × 1,690,228
  4. Step 4: Simplify right side
    829,887x = 2,856,870,691,984
  5. Step 5: Solve for x
    x = 2,856,870,691,984/829,887
  6. Step 6: Final answer
    x = 3,442,481.56

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.